Soliton solutions of (2+1) and (3+1)-dimensional KdV and mKdV equations

In this paper, we investigate the (2+1) and (3+1)-dimensional Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) equations. Firstly these equations are converted into ordinary differential equations via traveling wave transforma- tions. Then bright and singular soliton solutions are derived via new version of kudryashov method.